Xbox Compatible Game on Xbox One won't connect to Xbox Live, but Xbox One Can?

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There could be several reasons why your older Call of Duty games won't download or update on your Xbox One consoles. Some common reasons include:

Insufficient storage space: Ensure that you have enough storage space on your Xbox One console to download the game.

Network connectivity issues: Ensure that you have a stable internet connection and that your Xbox One console is connected to the network correctly.

Xbox Live service issues: Check if Xbox Live services are down by visiting the Xbox Live Service Status page.

Game compatibility issues: Some older Call of Duty games may not be compatible with the Xbox One console. Check the Microsoft Store or Xbox website for compatibility information.

Corrupted game files: Try clearing the cache on your Xbox One console and redownloading the game.

Outdated Xbox One software: Make sure that your Xbox One console is running the latest software update.

I'm afraid it won't. Game saves must be moved using Xbox 360 Cloud Saved games (Xbox Live Gold subscription required), while actual Xbox 360 games that are back-compatible on Xbox One can be redownloaded via Ready to Install on Xbox One's My Games & Apps
page.

If it's not backwards compatible (and this game isn't) then no, it won't work. You can view the backwards compatibility list
here. If a game is not on that list, you can't play it on an Xbox One.

Sorry to hear it. Can you please try the steps at this link to see if it helps? https://forums.xbox.com/en-CA/thread/12f0ffd2-920e-48b9-812d-c8604453546f

Hello, my xbox live profile is called "RinsableMLG" and today for some reason, I can't play xbox 360 backwards compatible games be ause my profile won't download on the xbox 360 servers. I can play xbox one games, but I can't play my xbox 360 games
and my profile won't download and it states "There's a problem with your credentials, blah blah blah". If I use my other two accounts, I can play on the xbox 360 games but not my RinsableMLG one. I seriosuly don't know what to do and I'm panicking right now.

I have the exact same problem. I was just trying to play saints row but couldn't connect to xbox live on backwards compatibility. So I deleted my account and now I can't download on backwards compatibility with the same error message as you.